Page 17 - BUKU KALIN (bismillah Fix)_Bab 6
P. 17
(cosh −1 ) 1
. =
√ − 1
2
(tanh −1 ) 1
. = ; | | < 1
1 − 2
(coth −1 ) 1
. = ; | | > 1
1 − 2
(sech −1 ) 1
. =
√1 − 2
Bukti
2
. sinh −1 = ln ( + √1 + )
Jelas,
2
(sinh −1 ) |ln ( + √1 + )|
=
2
(sinh −1 ) |ln ( + √1 + )| √1 + 2
= . (1 + )
( + √1 + )
2
(sinh −1 ) 1 √1 + 2
= . (1 + )
+ √1 + 2 
